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natita [175]
3 years ago
13

A group of people were given a personality test to determine if they were Type A or Type B. The results are shown in the table b

elow:
Male Female
Type A 65 85
Type B 38 12
Compare P(female | Type B) with P(Female or Type B)
A) P(Female | Type B) < P(Female or Type B)
B) P(Female | Type B) > P(Female or Type B)
C) P(Female | Type B) = P(Female or Type B)
D) There is not enough information.
Mathematics
1 answer:
aalyn [17]3 years ago
7 0
D) there is not enough information
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A research team at Cornell University conducted a study showing that approximately 10% of all businessmen who wear ties wear the
LenKa [72]

Answer:

a) The probability that at least 5 ties are too tight is P=0.0432.

b) The probability that at most 12 ties are too tight is P=1.

Step-by-step explanation:

In this problem, we could represent the proabilities of this events with the Binomial distirbution, with parameter p=0.1 and sample size n=20.

a) We can express the probability that at least 5 ties are too tight as:

P(x\geq5)=1-\sum\limits^4_{k=0} {\frac{n!}{k!(n-k)!} p^k(1-p)^{n-k}}\\\\P(x\geq5)=1-(0.1216+0.2702+0.2852+0.1901+0.0898)\\\\P(x\geq5)=1-0.9568=0.0432

The probability that at least 5 ties are too tight is P=0.0432.

a) We can express the probability that at most 12 ties are too tight as:

P(x\leq 12)=\sum\limits^{12}_{k=0} {\frac{n!}{k!(n-k)!} p^k(1-p)^{n-k}}\\\\P(x\leq 12)=0.1216+0.2702+0.2852+0.1901+0.0898+0.0319+0.0089+0.0020+0.0004+0.0001+0.0000+0.0000+0.0000\\\\P(x\leq 12)=1

The probability that at most 12 ties are too tight is P=1.

5 0
3 years ago
-34 + 91 = -3 (4x + 1) + 6x
ra1l [238]

-34 + 91 = -3(4x+1) + 6x\\57 = -12x - 3 + 6x\\6x = -60\\x= -10\\

Thus x = -10.

Hope that helps!

3 0
2 years ago
Read 2 more answers
Tina has eight packs of paper each of her packs contain 50 sheets. Caz has three packs of paper each of his packs contain 125 sh
Vesna [10]

Answer:

i think the question is incomplete but

Tina at an average contains each package of

50 sheets ÷ 8 pack

6.205 of sheet in each pack

125 sheets ÷ 3 packs

caz contain at average 41.60 sheet average

but where the juan packs of paper that's why question is incomplete

7 0
2 years ago
A jungle has 578 monkeys.
sergejj [24]

Answer:

425 monkeys

Step-by-step explanation:

Subtract the number of birds from the number of monkeys to find the difference between the two.

7 0
3 years ago
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Will mark BRAINELIST please answer!
ratelena [41]

Answer:

all i know is A and it is -1,-2

Step-by-step explanation:

7 0
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